7/21/2019 Lecture 3 - Vertical Curves

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Vurvcyedg-EEFC-:

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Furvcscrtefia Furvcs

Ed ibbeteod to `orezodtia furvcs t`it go to t`c reg`t or acnt,roibs iaso `ivc vcrtefia furvcs t`it go up or bowd.

^crtefia furvcs it i frcst or t`c top on i `eaa irc fiaacbsummet furvcs, or ovcrvcrtefias.

^crtefia furvcs it t`c jottom on i `eaa or bep irc fiaacb sig

furvcs, or udbcrvcrtefias.

:

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Furvcscrtefia Furvcs

Ed t`c simc wiy t`it `orezodtia furvcs irc uscb to foddcftedtcrscftedg strieg`ts ed t`c `orezodtia paidc, vcrtefia furvcsirc uscb to foddcft edtcrscftedg strieg`ts ed t`c vcrtefiapaidc.

R`csc strieg`ts irc usuiaay fiaacb gribecdts idb t`c

fomjediteod on t`c on t`c gribecdts idb vcrtefia furvc eshdowd is vcrtefia iaegdmcdt.

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Furvcscrtefia Furvcs

R`c vcrtefia iaegdmcdt es fomposcb on i screcs on strieg`t-aedc gribecdts foddcftcb jy furvcs, dormiaay pirijoaef ednorm.

R`csc vcrtefia pirijoaef furvcs must t`crcnorc jc provebcbit iaa f`idgcs ed gribecdt.

R`c furviturc weaa jc bctcrmedcb jy t`c bcsegd spccb,jcedg sunnefecdt to provebc ibcquitc brevcr fomnort wet`ippropreitc stoppedg seg`t bestidfcs provebcb.

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Furvcscrtefia Furvcs

\urposc on ^crtefia Furvcs ^crtefia furvcs irc semeair to `orezodtia furvcs ed t`it t`cy

irc bcsegdcb nor i pirtefuair spccb.

R`c mied nudfteods on i vcrtefia furvc irc to provebc;

Vincty idb fomnort trivcaaedg jctwccd gribecdts

Ibcquitc vesejeaety to cdijac vc`efacs to stop or ovcrtihcsincay.

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Furvcscrtefia Furvcs

W`cd two benncrcdt gribecdts mcct t`cy irc foddcftcb jyi furvc ed i vcrtefia paidc es fiaacb vcrtefia furvc. et es uscbed roibs idb rieawiy.

Ojkcftevc;

Ro roudb onn t`c idgac it t`c ipcx idb to ojtied i gribuiaf`idgc ed gribc or gribecdt, so t`it ijrupt f`idgc edgribc es ivoebcb it t`c ipcx.

^crtefia furvcs miy jc;

i) Ferfuair irf j) Irf on \irijoai

Nor sempaefety on fiafuaiteod worh, t`c pirijoai es prcncrrcb.

W`cd t`c riteo on acdgt` on furvc to ribeus es acss t`id 9 to 9

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Furvcscrtefia Furvcs

Ed priftefc, roib idb rieawiy gribecdts irc fompiritevcaynait idb et es ontcd udemportidt w`it typc on vcrtefia furvc esuscb.

R`c usuia furvcs irc ferfuair or pirijoaef. @owcvcr, et es jcst

to usc i vcrtefia furvc `ivedg i fodstidt ritc on f`idgc ongribecdt, e.c., i pirijoai idb is et turds out, pirijoaefvcrtefia furvcs irc vcry cisy to fiafuaitc idb usc.

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Furvcscrtefia Furvcs

\irijoai is bcserijac f`iriftcrestefs on;9) Fodstidt ritc on f`idgc on saopcs w`ef` fodtrejutcs

to soot` iaegdmcdt tridseteod.

:) Cisc on fomputiteod on vcrtefia onnscts w`ef` pcrmetsciseay fomputcb furvc.

R`c Gribc nor t`c gribecdt on i roib es cxprcsscb ed two wiys;

i) Is i pcrfcdtigc e.c : % 9.3 %

j) Is 9 ed d , w`crc d es `orezodtia bestidfc ed mctcr or

ncct forrcspodbedg to 9m or 9nt resc or niaa. C.g 9 ed 0< &9 ed 9

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Furvcscrtefia Furvcs

Rypcs on vcrtefia furvc;

9) Id up gribc noaaowcb :) I bowd gribc noaaowcb

jy i bowd gribc jy id Sp gribc

Vummet or Fodvcx Vig or Fodfivc 5

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Furvcscrtefia Furvcs

Rypcs on vcrtefia furvc;

6) Id up gribc noaaowcb 2) I bowd gribc noaaowcb

jy idot`cr up gribc jy idot`cr bowd gribc

Vummet or FodvcxVig or Fodfivc 9